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On summatory functions of additive functions and regular variation

Aleksandar Ivić
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Abstract

An overview of results and problems concerning the asymptotic behaviour for summatory functions of a certain class of additive functions is given. The class of functions in question involves Karamata's regular variation. Some new Abelian and Tauberian results for additive functions of the form $F(n) = \sum_{p^α||n}αh(p)$ are given.

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Aleksandar Ivić. 2003-11-20. On summatory functions of additive functions and regular variation. https://arxiv.org/abs/math/0311345

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